A global illumination solution for general reflectance distributions

Sillion, Françis; Arvo, James; Westin, Stephen H.; Greenberg, Donald P.

doi:10.1145/122718.122739

Cited by 126 publications

(71 citation statements)

References 16 publications

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“…, is a function which is defined over all surfaces and all directions. For example, Sillion et al [26] used spherical harmonics to model the directional distribution of radiance. As in the case of BRDF representations, the disadvantages of using spherical harmonics to represent radiance are due to the global support and high cost of evaluation.…”

Section: Waveletsmentioning

confidence: 99%

Spherical wavelets: Efficiently representing functions on a sphere

Schröder¹,

Sweldens²

Wavelets in the Geosciences

265

409

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Wavelets have proven to be powerful bases for use in numerical analysis and signal processing. Their power lies in the fact that they only require a small number of coefficients to represent general functions and large data sets accurately. This allows compression and efficient computations. Classical constructions have been limited to simple domains such as intervals and rectangles. In this paper we present a wavelet construction for scalar functions defined on the sphere. We show how biorthogonal wavelets with custom properties can be constructed with the lifting scheme. The bases are extremely easy to implement and allow fully adaptive subdivisions. We give examples of functions defined on the sphere, such as topographic data, bidirectional reflection distribution functions, and illumination, and show how they can be efficiently represented with spherical wavelets.

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Section: Waveletsmentioning

confidence: 99%

Spherical wavelets: Efficiently representing functions on a sphere

Schröder¹,

Sweldens²

Wavelets in the Geosciences

265

409

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show abstract

“…Cabral et al [3] proposed the representation of BRDF using spherical harmonics. The work is further extended by Sillion et al [14] to model the entire range of incident angles. It is especially suitable for representing smooth spherical functions.…”

Section: Spherical Harmonicsmentioning

confidence: 99%

“…In our approach, the viewing direction V for each pixel is actually fixed. Hence, the function can be transformed to the spherical harmonic domain using the following equations directly, without considering how to represent a bidirectional function as in [14]. where the base case is P 0 0 (x) = 1 .…”

Section: Spherical Harmonicsmentioning

confidence: 99%

Image-based Rendering with Controllable Illumination

Wong

Heng

et al. 1997

Eurographics

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A new image-based rendering method, based on the light field and Lumigraph system, allows illumination to be changed interactively. It does not try to recover or use any geometrical information (e.g., depth or surface normals) to calculate the illumination, but the resulting images are physically correct. The scene is first sampled from different viewpoints and under different illuminations. Treating each pixel on the back plane of the light slab as a surface element, the sampled images are used to find an apparent BRDF of each surface element. The tabular BRDF data of each pixel is further transformed to the spherical harmonic domain for efficient storage. Whenever the user changes the illumination setting, a certain number of views are reconstructed. The correct user perspective view is then displayed using the texture mapping technique of the Lumigraph system. Hence, the intensity, the type and the number of the light sources can be manipulated interactively.

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“…Previous algorithms employ for example constant basis functions defined over the cells of a "global cube" [4], or spherical harmonics basis functions up to a prescribed order [2,7]. The global cube approach has the advantage of simplicity, first because it is very easy to manipulate, but also because function products can be evaluated easily (since the basis functions have non-overlapping support).…”

Section: Representation Of Directional Distributionsmentioning

confidence: 99%

“…An approximate representation of a directional function is obtained by storing only the first few coefficients of this decomposition, up to a given maximum level. BRDFs can be encoded by such vectors of coefficients for use in a radiosity simulation [7].…”

Section: Spherical Harmonicsmentioning

confidence: 99%

A Clustering Algorithm for Radiance Calculation In General Environments

Sillion¹,

Drettakis²,

Soler³

1995

Eurographics

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This paper introduces an efficient hierarchical algorithm capable of simulating light transfer for complex scenes containing non-diffuse surfaces. The algorithm stems from a new formulation of hierarchical energy exchanges between object clusters, based on the explicit representation of directional radiometric distributions. This approach permits the simplified evaluation of energy transfers and error bounds between clusters. Representation and storage issues are central to this type of algorithm: we discuss the different choices for representing directional distributions, and the choice between explicit storage or immediate propagation of directional information in the hierarchy. The framework presented is well suited to a multi-resolution representation, which may in turn significantly alleviate the storage problems. Results from an implementation are presented, indicating the feasibility of the approach and its capacity to treat complex scenes.

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A global illumination solution for general reflectance distributions

Cited by 126 publications

References 16 publications

Spherical wavelets: Efficiently representing functions on a sphere

Spherical wavelets: Efficiently representing functions on a sphere

Image-based Rendering with Controllable Illumination

A Clustering Algorithm for Radiance Calculation In General Environments

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